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Finding the Fourth Proportional to 6,944.88, 9,584 and 3,801.13

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Solution

The fourth proportional to 6,944.88, 9,584 and 3,801.13 is: 5,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.88 : 9,584 = 3,801.13 : x
  2. Step 2: Convert to fraction form
    6,944.88/9,584 = 3,801.13/x
  3. Step 3: Cross multiply
    6,944.88x = 9,584 × 3,801.13
  4. Step 4: Simplify right side
    6,944.88x = 36,430,029.92
  5. Step 5: Solve for x
    x = 36,430,029.92/6,944.88
  6. Step 6: Final answer
    x = 5,245.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.